Convergence results for solutions of a first-order differential equation

Abstract

We consider the first order differential problem: (Pn) { u′(t) = fn(t, u(t)), for almost every t ∈ [0, 1], u(0) = 0. Under certain conditions on the functions fn, the problem (Pn) admits a unique solution un ∈W 1,1([0, 1], E). In this paper, we propose to study the limit behavior of sequences (un)n∈N and (u ′ n)n∈N, when the sequence (fn)n∈N is subject to different growing conditions.

Cite this paper

@inproceedings{Florescu2012ConvergenceRF, title={Convergence results for solutions of a first-order differential equation}, author={Liviu C. Florescu}, year={2012} }